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Sections 3.5 – 3.7

Sections 3.5 – 3.7. Michael London. Section 3.5 The Chain Rule. Some functions are difficult to derive because they may be a function within another function

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Sections 3.5 – 3.7

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  1. Sections 3.5 – 3.7 Michael London

  2. Section 3.5 The Chain Rule • Some functions are difficult to derive because they may be a function within another function • To solve a derivative like this, always work from the outside to the inside, making sure to take the derivative of each part of the function. • EX:

  3. Section 3.6 Implicit Differentiation • Some functions are defined by a relationship between x and y • Some of these equations may be hard to solve for y in order to easily integrate for just one value…so why not do it in terms of both? • For any term that has y or has something being done to the y, add a dy/dx (this simply means, derivative of y in respect to x) • Finally, isolate terms with dy/dx and solve for dy/dx

  4. Section 3.7 Derivates of Logarithmic Functions • The derivate of a logarithmic function is simply : • The derivative of a natural log function is:

  5. Logarithmic Examples

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